Abstract

Numerical methods of permeation fluid mechanics for black oil (water, oil and gas)--three compound combination flooding (polymer, surface active agent and alkali) in porous media is discussed in this paper. In view of petroleum geology, geochemistry, computational mechanics of flow and computer technology, a mechanics model of three-phase flow (water, oil and gas)--three compound combination flooding (the polymer, surface active agent and alkali) is presented firstly, then the characters and the application are stated in this paper. A numerical algorithm consisting of a full implicit program, an implicit computation for the pressure and an implicit/explicit program respective for the pressure and the concentration is given by structuring an upstream sequence and an iterative algorithm of implicit fined upwind fractional step finite difference to solve the pressure equation, the saturation equation and the concentration of chemical substance components and the petroleum acid concentration equation. This program runs quickly and is of high accuracy. The design of this software is given and can be applied in major industries, which is made up on ten-meters steps, hundreds of thousands nodes and tens of years and has been carried out successfully in analysis and simulation of national major oil-fields extraction such as Daqing Oilfield, Shengli Oilfield and Dagang Oilfield and others, which gives rise to outstanding economic and social benefits. A precise analysis is given for a simplified model and the numerical simulation system depends on mathematics and mechanics. An idea is presented to solve this international famous problem.

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